{"id":{"repo_id":"must-thes","oai_identifier":"oai:scholarsmine.mst.edu:doctoral_dissertations-1264"},"canonical_url":"https://search.dev.ndltd.org/etd/must-thes/oai:scholarsmine.mst.edu:doctoral_dissertations-1264","repository":{"repo_id":"must-thes","name":"Missouri University of Science and Technology","base_url":"https://scholarsmine.mst.edu/do/oai/"},"display":{"title":"Applications of metrics over Tikonov semifields and fixed points in Hilbert spaces","abstract":"<p>\"For Non expansive mappings on locally convex spaces, sufficient conditions are given for the set of fixed points to be a Non expansive retract. Also, sufficient conditions are given for certain semigroups of asymptotically Non expansive mappings to have a common fixed point.</p> <p>Several results concerning convergence of the sequence of iterates in metric spaces are generalized to Hausdorff uniform spaces.</p> <p>In Hilbert spaces, sufficient conditions are given for convergence of a Mann iteration process of strictly quasi pseudo contractive mappings. An example is given to show the process does not, in general, converge for pseudo contractive mappings\"-- Abstract, p. ii</p>","abstract_html":"&lt;p&gt;&quot;For Non expansive mappings on locally convex spaces, sufficient conditions are given for the set of fixed points to be a Non expansive retract. Also, sufficient conditions are given for certain semigroups of asymptotically Non expansive mappings to have a common fixed point.&lt;/p&gt; &lt;p&gt;Several results concerning convergence of the sequence of iterates in metric spaces are generalized to Hausdorff uniform spaces.&lt;/p&gt; &lt;p&gt;In Hilbert spaces, sufficient conditions are given for convergence of a Mann iteration process of strictly quasi pseudo contractive mappings. An example is given to show the process does not, in general, converge for pseudo contractive mappings&quot;-- Abstract, p. ii&lt;/p&gt;","abstract_has_math":false,"creators":["Kubicek, John David"],"institution":"University of Missouri--Rolla","degree_name":"Ph. D. in Mathematics","degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2016,"date_issued":"2016-02-10T08:00:00Z","date_published":"2016-02-10T08:00:00Z","updated_at":"2026-07-24T03:18:34Z","subjects":["Mathematics"],"languages":[],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://scholarsmine.mst.edu/doctoral_dissertations/262","outbound_label":"Repository record","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["Kubicek, John David"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.available","label":"Dc Date Available","values":["2016-02-10T08:00:00Z"]},{"key":"dc:type","label":"Dc Type","values":["Dissertation - Open Access"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Ph. 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Also, sufficient conditions are given for certain semigroups of asymptotically Non expansive mappings to have a common fixed point.</p> <p>Several results concerning convergence of the sequence of iterates in metric spaces are generalized to Hausdorff uniform spaces.</p> <p>In Hilbert spaces, sufficient conditions are given for convergence of a Mann iteration process of strictly quasi pseudo contractive mappings. An example is given to show the process does not, in general, converge for pseudo contractive mappings\"-- Abstract, p. ii</p>"]},{"key":"dc:title","label":"Title","values":["Applications of metrics over Tikonov semifields and fixed points in Hilbert spaces"]}]}],"canonical_facts":{"dc:creator":["Kubicek, John David"],"dc:date.available":["2016-02-10T08:00:00Z"],"dc:description.abstract":["<p>\"For Non expansive mappings on locally convex spaces, sufficient conditions are given for the set of fixed points to be a Non expansive retract. Also, sufficient conditions are given for certain semigroups of asymptotically Non expansive mappings to have a common fixed point.</p> <p>Several results concerning convergence of the sequence of iterates in metric spaces are generalized to Hausdorff uniform spaces.</p> <p>In Hilbert spaces, sufficient conditions are given for convergence of a Mann iteration process of strictly quasi pseudo contractive mappings. An example is given to show the process does not, in general, converge for pseudo contractive mappings\"-- Abstract, p. ii</p>"],"dc:identifier":["https://scholarsmine.mst.edu/doctoral_dissertations/262"],"dc:subject":["Mathematics"],"dc:title":["Applications of metrics over Tikonov semifields and fixed points in Hilbert spaces"],"dc:type":["Dissertation - Open Access"],"thesis:degree_name":["Ph. D. in Mathematics"],"thesis:institution_name":["University of Missouri--Rolla"]},"updated_at":"2026-07-24T03:18:34Z"}